Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates

被引:34
作者
Mohammed, P. O. [1 ]
机构
[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Iraq
关键词
INTEGRAL-INEQUALITIES; (ALPHA;
D O I
10.1016/j.jksus.2017.07.011
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we introduce the notion of MT-convex functions on co-ordinates and establish some new integral inequalities of Hermite-Hadamard type for MT-convex functions on co-ordinates on a rectangle Delta in the plane R-2. (C) 2017 The Author. Production and hosting by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license.
引用
收藏
页码:258 / 262
页数:5
相关论文
共 12 条
[1]  
Bai SP, 2016, J APPL ANAL COMPUT, V6, P171
[2]  
Dragomir S. S., 2000, RGMIA Monographs
[3]   On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane [J].
Dragomir, SS .
TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (04) :775-788
[4]   Some new Hermite-Hadamard type inequalities for differentiable co-ordinated convex functions [J].
Guo, Xu-Yang ;
Qi, Feng ;
Xi, Bo-Yan .
COGENT MATHEMATICS, 2015, 2
[5]  
Guo XY, 2016, J COMPUT ANAL APPL, V21, P144
[6]  
Meftah B., 2015, KONURALP J MATH, V3, P77
[7]  
Park J., 2015, Appl. Math. Sci, V9, P5011, DOI 10.12988/ams.2015.56425
[8]  
Park J., 2013, INT J PURE APPL MATH, V82, P829
[9]  
Samko A. A., 1993, Fractional Integrals andDerivatives: Theory and Applications
[10]  
Sarikaya MZ, 2016, ACTA MATH UNIV COMEN, V85, P155